{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Integrating eccentric Comets with TRACE\n",
    "In this example, we study highly eccentric comets which interact with a Neptune mass planet.\n",
    "\n",
    "TRACE is a hybrid integration scheme which combines the WHFAST and BS algorithms. It reversibly transitions between the two integrators, and is capable of handling very eccentric orbits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rebound\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this simulation, we are\n",
    "* adding comets as *semi-active* bodies, which means they can influence/be influenced by other active bodies, but are invisible to each other. This is done by setting `testparticle_type = 1`. Setting `testparticle_type = 0` would indicate that we are adding comets as *test* bodies.\n",
    "* merging bodies when a collision is triggered, conserving momentum and mass.\n",
    "* removing particles that leave our pre-defined box.\n",
    "* tracking the energy lost due to ejections or collisions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim = rebound.Simulation()\n",
    "np.random.seed(42)\n",
    "\n",
    "#integrator options\n",
    "sim.integrator = \"trace\"\n",
    "sim.dt = 1\n",
    "sim.testparticle_type = 1\n",
    "\n",
    "#collision and boundary options\n",
    "sim.collision = \"direct\"\n",
    "sim.collision_resolve = \"merge\"\n",
    "sim.collision_resolve_keep_sorted = 1\n",
    "sim.boundary = \"open\"\n",
    "boxsize = 200.\n",
    "sim.configure_box(boxsize)\n",
    "sim.track_energy_offset = 1\n",
    "\n",
    "#simulation time\n",
    "tmax = 1e4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that the preliminary setup is complete, it's time to add some particles to the system! When using the TRACE integrator it is important to add active bodies first and semi-active bodies later. The `sim.N_active` variable distinguishes massive bodies from semi-active/test bodies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#massive bodies\n",
    "sim.add(m=1., r=0.005)                     # Sun\n",
    "a_neptune = 30.05\n",
    "sim.add(m=5e-5,r=2e-4,a=a_neptune,e=0.01)  # Neptune\n",
    "\n",
    "sim.N_active = sim.N"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's create some comets! For this simple example we are assuming that all comets have the same mass and radius."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# semi-active bodies\n",
    "n_comets = 100\n",
    "a = np.random.random(n_comets)*10 + a_neptune\n",
    "e = np.random.random(n_comets)*0.009 + 0.99\n",
    "inc = np.random.random(n_comets)*np.pi/2.\n",
    "m = 1e-10\n",
    "r = 1e-7\n",
    "\n",
    "for i in xrange(0,n_comets):\n",
    "    rand = np.random.random()*2*np.pi\n",
    "    sim.add(m=m, r=r, a=a[i], e=e[i], inc=inc[i], Omega=0, omega=rand, f=rand)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to move to the COM frame to avoid drifting out of our simulation box. Also, it is always good practice to monitor the change in energy over the course of a simulation, which requires us to calculate it before and after the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim.move_to_com()\n",
    "E0 = sim.energy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize our setup using `rebound.OrbitPlot`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "op = rebound.OrbitPlot(sim,Narc=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's simulate our system for and check that our final relative energy error is small. The energy error is a key measure of whether the integration was performed accurately or not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.390879254005452e-07\n"
     ]
    }
   ],
   "source": [
    "sim.integrate(tmax)\n",
    "dE = abs((sim.energy() - E0)/E0)\n",
    "print(dE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
